By Mitsuri Matsui
This booklet constitutes the refereed lawsuits of the fifteenth overseas convention at the conception and alertness of Cryptology and data protection, ASIACRYPT 2009, held in Tokyo, Japan, in December 2009.
The forty-one revised complete papers provided have been rigorously reviewed and chosen from 298 submissions. The papers are equipped in topical sections on block ciphers, quantum and post-quantum, hash features I, encryption schemes, multi get together computation, cryptographic protocols, hash funtions II, versions and frameworks I, cryptoanalysis: sq. and quadratic, types and framework II, hash features III, lattice-based, and facet channels.
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Additional info for Advances in Cryptology - ASIACRYPT 2009: 15th International Conference on the Theory and Application of Cryptology and Information Security, Tokyo, Japan, ... Computer Science / Security and Cryptology)
The following claim was proved in . Lemma 1. If F|A ≡ G then ∆q (F, G) ≤ ν(F, Aq ). Let F be a random system with a monotone condition A. Following , we define F blocked by A to be a new random system that behaves exactly like F while the condition A is satisfied. Once A is violated, it only outputs a special blocking symbol ⊥ not contained in the output alphabet of F. More formally, the following mapping is applied to the ith output of F: yi → yi ⊥ if Ai holds otherwise. Cascade Encryption Revisited 41 The following new lemma relates the optimal advantage in distinguishing two random systems to the optimal advantage in distinguishing their blocked counterparts.
Kl . It provides an interface to make forward and backward queries both to the blockcipher E and to the permutation P . However, answers to the blockcipher queries involving the key Kl are modified to satisfy the equation EK1 ◦ · · · ◦ EKl = P . More precisely, forward queries are real−1 −1 ized as EKl (x) = P (EK (· · · EK (x) · · · )) and backward queries are realized as 1 l−1 −1 EKl (y) = EKl−1 (EKl−2 (· · · EK1 (P −1 (y)) · · · )). To achieve this, C3 (·, ·) queries its subsystems for all necessary values.
Let l ≥ 3 be an odd integer. Let C1 (·, ·) denote a construction which expects two subsystems: a blockcipher E and a permutation P . It chooses in advance l uniformly distinct keys K1 , . . , Kl . These are not used by the system, their purpose is to make C1 (·, ·) comparable to the other constructions. C1 (·, ·) provides an interface to make forward and backward queries both to the blockcipher E and to the permutation P . On the other hand, let C2 (·) denote a construction which expects a blockcipher E as the only subsystem.
Advances in Cryptology - ASIACRYPT 2009: 15th International Conference on the Theory and Application of Cryptology and Information Security, Tokyo, Japan, ... Computer Science / Security and Cryptology) by Mitsuri Matsui